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Coupled time‐domain analysis with boundary and finite elements
Author(s) -
Rüberg Thomas,
Schanz Martin
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700795
Subject(s) - lagrange multiplier , saddle point , finite element method , feti , saddle , boundary value problem , boundary (topology) , interface (matter) , mathematics , computer science , mathematical analysis , domain decomposition methods , geometry , mathematical optimization , structural engineering , engineering , bubble , maximum bubble pressure method , parallel computing
Abstract A methodology for the combination of boundary and finite element discretizations for the numerical analysis of time‐dependent problems is presented. The interface conditions arising from the partitioning of the problem are incorporated in a weak form by means of Lagrange multiplier fields and, therefore, allow for nonconform interface discretizations. The resulting system matrices have the same saddle point structure as in the FETI method. Possible applications of the proposed method are the dynamic analysis of soil‐structure interaction and similar wave propagation phenomena in unbounded media. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)